The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
Answer: C) 50%
Step-by-step explanation:
If the polarizes are parallel, then it will be 0%. But if they're both perpendicular than it will be 50%. If they are neither parallel nor perpendicular, than it will be less than 50% and greater than 0%
Its b because blue plus white is 16, so blue and white combined have the same as black
Hope this helps :D
<span>In the question "Complete the following equation using <, >, or =. 100% ___ 1" The correct answer is 100% = 1. A percentage is a number or ratio expressed as a fraction of 100. To convert a given percentage to its equivalent number, we divide the given percent by 100. Therefore, 100% = 100 / 100 = 1.</span>
